Indeed you did but which other band might that be, given that we're talking Neil Finn and Nick Seymour? I think pretty much anyone would consider a "band" project involving those two to be Crowded House. And given that said project eventually was issued under that name, I can't believe they were considering a different project.
Regardless, as I noted, it seems that Neil was quite happy to issue a set of songs as Crowded House songs even though Mark wasn't on any of them. It's one thing for a member to not be on a song or two if the arrangement doesn't require his/her input, but this isn't a similar situation. Obviously, Mark is happy enough about it (or, at least, resigned to being treated this way).